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28896912 = 2434112027
BaseRepresentation
bin110111000111…
…0111010010000
32000101010010000
41232032322100
524344200122
62511210000
7500422362
oct156167220
960333100
1028896912
1115347750
129816900
135ca9b85
143ba2d32
15280c0ac
hex1b8ee90

28896912 has 100 divisors (see below), whose sum is σ = 91284336. Its totient is φ = 8752320.

The previous prime is 28896883. The next prime is 28896913. The reversal of 28896912 is 21969882.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28896913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13243 + ... + 15269.

Almost surely, 228896912 is an apocalyptic number.

28896912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28896912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45642168).

28896912 is an abundant number, since it is smaller than the sum of its proper divisors (62387424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28896912 is a wasteful number, since it uses less digits than its factorization.

28896912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2043 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 28896912 is about 5375.5848053956. The cubic root of 28896912 is about 306.8672055268.

Subtracting from 28896912 its product of digits (124416), we obtain a square (28772496 = 53642).

It can be divided in two parts, 2889 and 6912, that added together give a square (9801 = 992).

The spelling of 28896912 in words is "twenty-eight million, eight hundred ninety-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2027 2376 3564 4054 4752 6081 7128 8108 12162 14256 16216 18243 22297 24324 32432 36486 44594 48648 54729 66891 72972 89188 97296 109458 133782 145944 164187 178376 200673 218916 267564 291888 328374 356752 401346 437832 535128 602019 656748 802692 875664 1070256 1204038 1313496 1605384 1806057 2408076 2626992 3210768 3612114 4816152 7224228 9632304 14448456 28896912